| Full text | |
| Author(s): |
Gallo, Sandro
;
Haydn, Nicolai
;
Vaienti, Sandro
Total Authors: 3
|
| Document type: | Journal article |
| Source: | ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES; v. 60, n. 2, p. 38-pg., 2024-05-01. |
| Abstract | |
It is well-known that, for sufficiently mixing dynamical systems, the number of visits to balls and cylinders of vanishing measure is approximately Poisson compound distributed in the Kac scaling. Here we extend this kind of results when the target set is an arbitrary set with vanishing measure in the case of 0-mixing systems. The error of approximation in total variation is derived using Stein-Chen method. An important part of the paper is dedicated to examples to illustrate the assumptions, as well as applications to temporal synchronisation of g-measures. (AU) | |
| FAPESP's process: | 13/07699-0 - Research, Innovation and Dissemination Center for Neuromathematics - NeuroMat |
| Grantee: | Oswaldo Baffa Filho |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| FAPESP's process: | 17/07084-6 - Poincaré recurrence statistics and extreme value theory |
| Grantee: | Alexsandro Giacomo Grimbert Gallo |
| Support Opportunities: | Scholarships abroad - Research |
| FAPESP's process: | 19/23439-4 - Stochastic chains with unbounded memory and random walks on graphs |
| Grantee: | Alexsandro Giacomo Grimbert Gallo |
| Support Opportunities: | Regular Research Grants |